Certificate for #5882 ⟨a, b, c | ab=a, bca=ba⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bca=ba

Axiom: bca=ba.

Defines rule #3.

Referenced by [3].

[3] aca=aa

Overlap of [1] ab=a with [2] bca=ba:

a b bca

Critical pair: aba=aca.

Reduce LHS:

[1](ab)a
⇒ aa

Flip LHS and RHS.

Defines rule #2.